Question

This week Elise has tests in both social studies and science. She studied for a total of 12 hours for both tests. Elise studied for 2 hours longer for science test than she did for social studies test. How many hours did she spend studying for each test?

Answer 1

She spend studying 5 hours for social studies test and 7 hours for science test.

Explanation:

Given:

This week Elise has tests in both social studies and science. She studied for a total of 12 hours for both tests. Elise studied for 2 hours longer for science test than she did for social studies test.

Now, to find hours she spend studying for each test.

Let the number of hours she studied for social studies test be
`x.`

So, the number of hours she studied for science test =
`x+2.`

Total hours for both tests = 12 hours.

According to question:

`(x)+(x+2)=12`

`x+x+2=12`

`2x+2=12`

Subtracting both sides by 2 we get:

`2x=10`

Dividing both sides by 2 we get:

`x=5.`

The number of hours she studied for social studies test = 5.

Now, to get the number of hours she studied for science test by substituting the value of
`x` :

`x+2\\\\=5+2\\\\=7.`

The number of hours she studied for science test = 7.

Therefore, she spend studying 5 hours for social studies test and 7 hours for science test.